306216540 has 144 divisors (see below), whose sum is σ = 1117509120. Its totient is φ = 66303360.

The previous prime is 306216497. The next prime is 306216541. The reversal of 306216540 is 45612603.

306216540 is a `hidden beast` number, since 3 + 0 + 6 + 2 + 1 + 654 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306216541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17545 + ... + 30335.

It is an arithmetic number, because the mean of its divisors is an integer number (7760480).

Almost surely, 2^306216540 is an apocalyptic number.

306216540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306216540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558754560).

306216540 is an abundant number, since it is smaller than the sum of its proper divisors (811292580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306216540 is a wasteful number, since it uses less digits than its factorization.

306216540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12832 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 306216540 is about 17499.0439738861. The cubic root of 306216540 is about 674.0253257954.

The spelling of 306216540 in words is "three hundred six million, two hundred sixteen thousand, five hundred forty".